829464983968320 has 1344 divisors, whose sum is σ = 3599416081336320. Its totient is φ = 179000981913600.

The previous prime is 829464983968307. The next prime is 829464983968339. The reversal of 829464983968320 is 23869389464928.

It is a happy number.

829464983968320 is a `hidden beast` number, since 8 + 2 + 9 + 4 + 6 + 498 + 3 + 96 + 8 + 32 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×829464983968320² (a number of 31 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829464983968320.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 537319812 + ... + 538861308.

It is an arithmetic number, because the mean of its divisors is an integer number (2678136965280).

Almost surely, 2^{829464983968320} is an apocalyptic number.

829464983968320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 829464983968320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1799708040668160).

829464983968320 is an abundant number, since it is smaller than the sum of its proper divisors (2769951097368000).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

829464983968320 is a wasteful number, since it uses less digits than its factorization.

829464983968320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1541609 (or 1541586 counting only the distinct ones).

The product of its (nonzero) digits is 7739670528, while the sum is 81.

The spelling of 829464983968320 in words is "eight hundred twenty-nine trillion, four hundred sixty-four billion, nine hundred eighty-three million, nine hundred sixty-eight thousand, three hundred twenty".